Question

A store sells televisions for $360 and DVD burners for $270. The entire stock is worth $52,920 and there are a total of 164 televisions and DVD burners combined. How many of each on are there?

Answer 1

Answer:  96 Televisions, 68 DVD burners

Step-by-step explanation:

Let T represent the quantity of televisions

Let D represent the quantity of DVD burners

Given:

value of television (T) = 360

value of DVD burners (D) = 270

Total value = 52,920

Equations:

Value: 360T + 270D = 52,920

Quantity:   T + D = 164

We can solve the system of equations using the Elimination Method:

-1(360T + 270D = 52,920) →  -360T - 270D = -52,920

  360(T + D = 164) →                360T + 360D = 59,040

                                                                90D = 6,120

                                                              ÷90     ÷90    

                                                                     D = 68

Input the value of D into one of the equations to solve for T

T + D = 164

T + 68 = 164

      T   = 96